числитель обыкновенной дроби на 1 меньше знаменателя. если числитель увеличить на 5, а - Дата: 23.11.2019, Автор: david58

числитель обыкновенной дроби на 1 меньше знаменателя. если числитель увеличить на 5, а знаменатель на 3, то дробь увеличиться на 1/2 найдите эту дробь
- Предмет:
  Алгебра
- Автор:
  david58
- 6 лет назад

Ответы 1

Заданная дробь имеет вид $\frac{x-1}{x}$ .Преобразованная дробь имеет вид $\frac{x-1+5}{x+3}=\frac{x+4}{x+3}$ . $\frac{x+4}{x+3}=\frac{1}{2}\cdot \frac{x-1}{x}\\\\2x(x+4)=(x+3)(x-1)\\\\2x^2+8x=x^2+2x-3\\\\x^2+6x=3\\\\(x+3)^2-9=3\\\\(x+3)^2=6\\\\x+3=\pm \sqrt6\\\\x_1=-3- \sqrt6,\; x_2=-3+\sqrt6$ Две дроби получаем: $\frac{-4-\sqrt6}{-3-\sqrt6}\ ,\; \; \frac{-4+\sqrt6}{-3+\sqrt6}\; .$
- Автор:
  claudiauvti
- 6 лет назад
- 0
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числитель обыкновенной дроби на 1 меньше знаменателя. если числитель увеличить на 5, а знаменатель на 3, то дробь увеличиться на 1/2 найдите эту дробь

Ответы 1

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